Consider the following system of differential equationsdæ+ 3x – y = 0,dtdy+ 10x – 4y = 0.dta)Write the system in matrix form and find the eigenvalues and eigenvectors, to obtain asolution in the form(;)-ebtY2edit + C2Y1where C1 and C2 are constants. Give the values of A1, Y1, 2 and y2. Enter your values suchthat A1 < A2.Y1 =Y2Input all numbers as integers or fractions, not as decimals.b)Find the particular solution, expressed as x (t) and y(t), which satisfies the initial conditionsx(0) = 4, y(0) = 17.x(t) =y(t) =||

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Consider the following system of differential equations dx + 3x – y = 0, dt dy + 10x – 4y = 0. dt а) Write the system in matrix form and find the eigenvalues and eigenvectors, to obtain a solution in the form (;) = ) 1 C1 Y1 1 + C2 ebt %3| Y2 where C1 and C2 are constants. Give the values of A1, Y1, A2 and that A1 < d2. Y2. Enter your values such Y1 = Y2 Input all numbers as integers or fractions, not as decimals. b) Find the particular solution, expressed as x (t) and y(t), which satisfies the initial conditions x(0) = 4, y(0) = 17. æ(t) = y(t) = ||

Consider the following system of differential equations dx + 3x – y = 0, dt dy + 10x – 4y = 0. dt а) Write the system in matrix form and find the eigenvalues and eigenvectors, to obtain a solution in the form (;) = ) 1 C1 Y1 1 + C2 ebt %3| Y2 where C1 and C2 are constants. Give the values of A1, Y1, A2 and that A1 < d2. Y2. Enter your values such Y1 = Y2 Input all numbers as integers or fractions, not as decimals. b) Find the particular solution, expressed as x (t) and y(t), which satisfies the initial conditions x(0) = 4, y(0) = 17. æ(t) = y(t) = ||

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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